Search a number
-
+
225543365415242 = 27536113943382793
BaseRepresentation
bin110011010010000101101000…
…001011010101000101001010
31002120120201211221002202012022
4303102011220023111011022
5214030300303021241432
62115405105222444442
765335653565044260
oct6322055013250512
91076521757082168
10225543365415242
1165957449967696
1221367994893722
1398b0856b41254
143d9a4ddd82430
151b11d79436b12
hexcd21682d514a

225543365415242 has 128 divisors (see below), whose sum is σ = 404215833530880. Its totient is φ = 92396825763840.

The previous prime is 225543365415241. The next prime is 225543365415259. The reversal of 225543365415242 is 242514563345522.

It is a happy number.

It is a super-2 number, since 2×2255433654152422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (225543365415241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2724142598 + ... + 2724225390.

It is an arithmetic number, because the mean of its divisors is an integer number (3157936199460).

Almost surely, 2225543365415242 is an apocalyptic number.

225543365415242 is a deficient number, since it is larger than the sum of its proper divisors (178672468115638).

225543365415242 is a wasteful number, since it uses less digits than its factorization.

225543365415242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83488.

The product of its digits is 34560000, while the sum is 53.

The spelling of 225543365415242 in words is "two hundred twenty-five trillion, five hundred forty-three billion, three hundred sixty-five million, four hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 7 14 53 61 106 122 139 278 371 427 433 742 854 866 973 1946 3031 3233 6062 6466 7367 8479 14734 16958 22631 22949 26413 45262 45898 51569 52826 59353 60187 82793 103138 118706 120374 160643 165586 184891 321286 369782 421309 449387 579551 842618 898774 1159102 1399889 2799778 3145709 3189911 3671407 4388029 5050373 6291418 6379822 7342814 8776058 9799223 10100746 11508227 19598446 22329377 23016454 25699849 30716203 35352611 35849369 44658754 51399698 61432406 70705222 71698738 80557589 161115178 194584571 250945583 267669769 389169142 501891166 535339538 609936031 702001847 1219872062 1362091997 1404003694 1873688383 1900016557 2186811509 2724183994 3747376766 3800033114 4269552217 4373623018 4914012929 4983062291 8539104434 9828025858 9966124582 13300115899 15307680563 26600231798 30615361126 34881436037 37206097891 69762872074 74412195782 115901009977 231802019954 260442685237 264102301423 303966799751 520885370474 528204602846 607933599502 811307069839 1622614139678 1848716109961 2127767598257 3697432219922 4255535196514 16110240386803 32220480773606 112771682707621 225543365415242